> I think the problem stems from there being too many people in the profession that care about almost nothing
IMO you need to substantiate this claim.
> even a very small percentage of wildly greedy people can damage a system severely
This is medicine you're talking about. If the doctor doesn't have contact with patients, they aren't affecting them. I just cannot follow the claim that a greedy doctor can have an outsized effect. What is the mechanism?
(Half a joke, to make my point:) Greedy doctors aren't like greedy venture capitalists... It seems like they can only suck $500k out of the system every year.